Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime

被引：0

作者：

Yang, Jie ^{[1
]}

Ma, Xia ^{[1
]}

Liu, Caiyun ^{[1
]}

机构：

[1] Taiyuan Inst Technol, Dept Sci, Taiyuan 030008, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2025年 / 2025卷 / 01期

关键词：

blow-up; coupled wave equations; de Sitter spacetime; iteration method; lifespan estimates; LIFE-SPAN; FUNDAMENTAL-SOLUTIONS; NONLINEAR-SYSTEMS; HYPERBOLIC SYSTEM; CAUCHY-PROBLEM; SCALAR FIELD; EXISTENCE;

D O I：

10.1155/ddns/5523776

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this paper is to study blow-up of solutions of a weakly coupled system for semilinear wave equations with damping terms and mass terms in the de Sitter spacetime. The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by using iterative methods, respectively. Upper bound lifespan estimates of solutions to the problem are established. To the best of our knowledge, the results in Theorems 1.1-1.3 are new. In particular, the critical curve for exponents (p, q) in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. In addition, wave trends are expressed by numerical simulation.

引用

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